Signature of the electron-electron interaction in the magnetic field dependence of nonlinear I-V characteristics in mesoscopic systems

TL;DR

This paper demonstrates that electron-electron interactions in mesoscopic systems cause specific magnetic field and electric field dependencies in nonlinear I-V characteristics, with oscillations influenced by temperature.

Contribution

It reveals that electron-electron interactions uniquely contribute to magnetic field-dependent nonlinear I-V behavior in mesoscopic conductors, highlighting their role in quantum transport.

Findings

Nonlinear I-V contains components linear in magnetic field and quadratic in electric field.

These components are directly proportional to the electron-electron interaction constant.

Amplitude and sign of the current oscillate randomly with temperature.

Abstract

We show that the nonlinear I-V characteristics of mesoscopic samples with metallic conductivity should contain parts which are linear in the magnetic field and quadratic in the electric field. These contributions to the current are entirely due to the electron-electron interaction and consequently they are proportional to the electron-electron interaction constant. We also note that both the amplitude and the sign of the current exhibit random oscillations as a function of temperature.